"Google Places" is a Google Service. Now the name of the previously and well known Google Local Business Center is changed to Google Places. Google launched Google places last September as a way "to help people make more informed decisions about where to go" but now Google Places will take over the Local Business Center.
You can add your business here. Millions of people look for real world places on Google. Google places allows business people to locate their business on the Google. It allows you to list your business be it Hotel, Restaurants, Tools, Vehicles etc.
You might want to promote a sale, a special event or anything else that you want customers to know right now, and this feature lets you communicate that directly to your customers. You can also provide extra incentive by adding coupons, including ones specially formatted for mobile phones.
There is a dashboard feature. With the dashboard, you can see how your use of any of these new features affects interest in your business and make more informed decisions about how to be found on Google and interact with your customers.
One out of five searches on Google are related to location, and we want to make sure that your businesses will be found and you will be benefited more out of it. For more info visit- http://google.com/support/places/?hl=en
"Google Maps" is a Google service which allows you powerful, user-friendly mapping tool and local business information -- including business locations, contact information, and direction to reach the location mentioned in the map. You can zoom the map, see its satellite view, street view and more things here. For more info Visit - http://maps.google.com/support/bin/answer.py?hl=en&answer=7060